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Finding the Fourth Proportional to 1,024.39, 1,533.86 and 536.42

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Solution

The fourth proportional to 1,024.39, 1,533.86 and 536.42 is: 803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.39 : 1,533.86 = 536.42 : x
  2. Step 2: Convert to fraction form
    1,024.39/1,533.86 = 536.42/x
  3. Step 3: Cross multiply
    1,024.39x = 1,533.86 × 536.42
  4. Step 4: Simplify right side
    1,024.39x = 822,788.58
  5. Step 5: Solve for x
    x = 822,788.58/1,024.39
  6. Step 6: Final answer
    x = 803.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.